6135021385920 has 1008 divisors, whose sum is σ = 24843552361056. Its totient is φ = 1385459712000.

The previous prime is 6135021385879. The next prime is 6135021385921. The reversal of 6135021385920 is 295831205316.

6135021385920 is a `hidden beast` number, since 6 + 1 + 3 + 5 + 0 + 21 + 38 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6135021385921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5194767730 + ... + 5194768910.

Almost surely, 2^{6135021385920} is an apocalyptic number.

6135021385920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6135021385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12421776180528).

6135021385920 is an abundant number, since it is smaller than the sum of its proper divisors (18708530975136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6135021385920 is a wasteful number, since it uses less digits than its factorization.

6135021385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 6135021385920 in words is "six trillion, one hundred thirty-five billion, twenty-one million, three hundred eighty-five thousand, nine hundred twenty".